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arXiv · 2207.06161

How to count in hierarchical landscapes: a 'full' solution to mean-field complexity

Jaron Kent-Dobias·Jorge Kurchan
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Abstract

We derive the general solution for counting the stationary points of mean-field complex landscapes. It incorporates Parisi's solution for the ground state, as it should. Using this solution, we count the stationary points of two models: one with multi-step replica symmetry breaking, and one with full replica symmetry breaking.

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BibTeXRIS

Jaron Kent-Dobias, Jorge Kurchan. 2022-07-13. How to count in hierarchical landscapes: a 'full' solution to mean-field complexity. https://doi.org/10.1103/physreve.107.064111

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